How do you solve #9(16)^(2x)=589824#?

1 Answer
Sep 13, 2016

Answer:

#x=2#

Explanation:

Start off by dividing both sides of the equation by #9#

#(16)^(2x)=65536#

Now we can rewrite in terms of base #2#

#(2^4)^(2x)=2^16#

Using rules of exponents we can write

#2^(8x)=2^16#

Since both sides of the equation are written in terms of the same base we can write

#8x=16#

Dividing both sides by #8# we get

#x=2#